548 research outputs found
(2,2) Supergravity in the Light-Cone gauge
Starting with the prepotential description of two-dimensional
supergravity we use local supersymmetry transformations to go to light-cone
gauge. We discuss properties of the theory in this gauge and derive Ward
identities for correlation functions defined with respect to the induced
supergravity action.Comment: Latex, 20 pages, 2 figures in separate compressed fil
Direct Calculation of the Boundary Matrix for the Open Heisenberg Chain
We calculate the boundary matrix for the open antiferromagnetic spin
isotropic Heisenberg chain with boundary magnetic fields. Our approach,
which starts from the model's Bethe Ansatz solution, is an extension of the
Korepin-Andrei-Destri method. Our result agrees with the boundary matrix
for the boundary sine-Gordon model with and with
``fixed'' boundary conditions.Comment: 29 pages, plain TEX, UMTG-17
Planar Gravitational Corrections For Supersymmetric Gauge Theories
In this paper we discuss the contribution of planar diagrams to gravitational
F-terms for N=1 supersymmetric gauge theories admitting a large N description.
We show how the planar diagrams lead to a universal contribution at the
extremum of the glueball superpotential, leaving only the genus one
contributions, as was previously conjectured. We also discuss the physical
meaning of gravitational F-terms.Comment: 20 pages, 4 figure
Effective Average Action in N=1 Super-Yang-Mills Theory
For N=1 Super-Yang-Mills theory we generalize the effective average action
Gamma_k in a manifest supersymmetric way using the superspace formalism. The
exact evolution equation for Gamma_k is derived and, introducing as an
application a simple truncation, the standard one-loop beta-function of N=1 SYM
theory is obtained.Comment: 17 pages, LaTeX, some remarks added, misprints corrected, to appear
in Phys. Rev.
Nonperturbative Formulas for Central Functions of Supersymmetric Gauge Theories
For quantum field theories that flow between ultraviolet and infrared fixed
points, central functions, defined from two-point correlators of the stress
tensor and conserved currents, interpolate between central charges of the UV
and IR critical theories. We develop techniques that allow one to calculate the
flows of the central charges and that of the Euler trace anomaly coefficient in
a general N=1 supersymmetric gauge theory. Exact, explicit formulas for
gauge theories in the conformal window are given and analysed. The
Euler anomaly coefficient always satisfies the inequality .
This is new evidence in strongly coupled theories that this quantity satisfies
a four-dimensional analogue of the -theorem, supporting the idea of
irreversibility of the RG flow. Various other implications are discussed.Comment: latex, 27 page
On the Spontaneous Identity of Chiral and Super Symmetry Breaking in Pure Super Yang Mills Theories
We show that in supersymmetric pure Yang Mills theories with arbitrary simple
gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by
the associated gaugino and gauge boson condensates implies the spontaneous
breaking of supersymmetry by the condensate of the underlying Lagrangian
density. The explicit breaking of the restricted fermionic charge through the
chiral anomaly is deferred to a secondary stage in the elimination of infrared
singularities or long range forces.Comment: 14 pages, uses amsmath, amssymb, shorter version, references added,
eq. (44) correcte
Absence of Three-Loop Four-Point Divergences in N=4 Supergravity
We compute the coefficient of the potential three-loop divergence in pure N=4
supergravity and show that it vanishes, contrary to expectations from symmetry
arguments. The recently uncovered duality between color and kinematics is used
to greatly streamline the calculation. We comment on all-loop cancellations
hinting at further surprises awaiting discovery at higher loops.Comment: 5 pages, 3 figures; v2 added references and minor correction
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